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Non-Commutative Valuation Rings and Semi-Hereditary Orders / Edition 1
     

Non-Commutative Valuation Rings and Semi-Hereditary Orders / Edition 1

by H. Marubayashi, Haruo Miyamoto, Akira Ueda
 

ISBN-10: 0792345622

ISBN-13: 9780792345626

Pub. Date: 05/31/1997

Publisher: Springer Netherlands

This is the first self-contained summary of non-Noetherian orders in a simple Artinian ring, a subject in which much progress has been made in the last decade.
The contents of the book are mainly Dubrovin valuation rings and semi-hereditary orders, including Prüfer and semi-local Bezout orders, which are considered, in a sense, as global theories of

Overview

This is the first self-contained summary of non-Noetherian orders in a simple Artinian ring, a subject in which much progress has been made in the last decade.
The contents of the book are mainly Dubrovin valuation rings and semi-hereditary orders, including Prüfer and semi-local Bezout orders, which are considered, in a sense, as global theories of Dubrovin valuation rings. These are then developed further, and applied to give some examples such as Dubrovin valuation rings in crossed product algebras, semi-hereditary maximal order in certain matrix rings, and the idealizers of semi-hereditary orders and Henselization of Bezout orders.
Audience: This volume will be of interest to researchers and graduate students whose work involves non-commutative ring theory and module theory.

Product Details

ISBN-13:
9780792345626
Publisher:
Springer Netherlands
Publication date:
05/31/1997
Series:
K-Monographs in Mathematics Series , #3
Edition description:
1997
Pages:
192
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Related Subjects

Table of Contents

Preface. I. Semi-Hereditary and Prüfer Orders. II. Dubrovin Valuation Rings. III. Semi-Local Bezout Orders. IV. The Applications and Examples. Appendix: A1. Semi-Perfect Rings and Serial Rings. A2. Coherent Rings. A3. Azumaya Algebras. A4. The Lifting Idempotents. A5. Wedderburn's Theorem. References. Index of Notation. Index.

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